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Finding the Fourth Proportional to 8,402.34, 12,603.30 and 2,855.58

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Solution

The fourth proportional to 8,402.34, 12,603.30 and 2,855.58 is: 4,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.34 : 12,603.30 = 2,855.58 : x
  2. Step 2: Convert to fraction form
    8,402.34/12,603.30 = 2,855.58/x
  3. Step 3: Cross multiply
    8,402.34x = 12,603.30 × 2,855.58
  4. Step 4: Simplify right side
    8,402.34x = 35,989,731.41
  5. Step 5: Solve for x
    x = 35,989,731.41/8,402.34
  6. Step 6: Final answer
    x = 4,283.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.